3 2 1+ X 1 Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and the horizontal line y = 2, as shown in the figure above. The r-coordinates of the two points of intersection of the graphs are a, and æ2, where 0 < x, < x2. Which of the following gives the volume of the solid generated when region R is revolved about the horizontal line y = 2? (10e¬* sin æ – 2)²dæ B sin æ)² – 2° ) dæ (10e sin æ – 2)²dæ D (10e- sin æ) – 22 ) dæ

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Question
y
3
R
2
1
2
3
Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and the horizontal line y
intersection of the graphs are x1 and x2, where 0 < x1< x2. Which of the following gives the volume of the solid generated when region Ris revolved about the horizontal line y = 2?
2, as shown in the figure above. The x-coordinates of the two points of
x2
(10e
sin x – 2)²dx
X 1
X2
(B
(10e¬ sin æ)? – 22 ) dx
• x2
(10е ? sin a - 2)*da
• L2
(10e» sin x)? Р22 ) dx
Transcribed Image Text:y 3 R 2 1 2 3 Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and the horizontal line y intersection of the graphs are x1 and x2, where 0 < x1< x2. Which of the following gives the volume of the solid generated when region Ris revolved about the horizontal line y = 2? 2, as shown in the figure above. The x-coordinates of the two points of x2 (10e sin x – 2)²dx X 1 X2 (B (10e¬ sin æ)? – 22 ) dx • x2 (10е ? sin a - 2)*da • L2 (10e¬ª sin x)? – 22 ) dx
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